Least Common Multiple of 973/28, 561/6342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 973/28, 561/6342 quickly i.e. 545853/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 973/28, 561/6342 is 545853/14.

LCM(973/28, 561/6342) = 545853/14

LCM of 973/28, 561/6342

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 973/28,561/6342

Given numbers are 973/28,561/6342

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 973,561

Least Common Multiple of Numerators i.e. LCM of 973,561 is 545853.

GCF of Denominators means GCF of 28,6342 as per the given fractions.

GCF of 28,6342 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 973,561

LCM of Fractions 973/28,561/6342 is 545853/14

Given numbers has no common factors except 1. So, there LCM is their product i.e 545853

Least Common Multiple of 973,561 with GCF Formula

Least Common Multiple of 973,561 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 973,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(973,561) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(973,561) x common factors =1 x 1 = 1

LCM(973,561) = ( 973 × 561 ) / 1

LCM(973,561) = 545853 / 1

LCM(973,561) = 545853


Lets's calculate GCF of 28,6342

2 28, 6342
7 14, 3171
2, 453

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 545853/14

Therefore the LCM of Fractions 973/28,561/6342 is 545853/14

Greatest Common Factor of 28,6342 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,6342 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 6342

List of positive integer factors of 6342 that divides 6342 without a remainder.

1,2,3,6,7,14,21,42,151,302,453,906,1057,2114,3171,6342

Greatest Common Factor

We found the factors 28,6342 . The biggest common factor number is the GCF number.
So the greatest common factor 28,6342 is 14.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 973/28, 561/6342

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 973/28, 561/6342?

Answer: LCM of Numerators as per given numbers 973/28, 561/6342 is

LCM of Numerators i.e. for 973,561 is 545853

GCF of denominators i.e. for 28,6342 is 14.

Thus, LCM of Fractions is 545853/14.Finally, LCM of Fractions for 973/28, 561/6342 is 545853/14.